{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 主成分分析 (PCA)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "主目录为：/Users/johnjim/Desktop/machine-learning-toy-code\n"
     ]
    }
   ],
   "source": [
    "# 添加目录到系统路径方便导入模块，该项目的根目录为\".../machine-learning-toy-code\"\n",
    "import sys\n",
    "from pathlib import Path\n",
    "curr_path = str(Path().absolute())\n",
    "parent_path = str(Path().absolute().parent)\n",
    "p_parent_path = str(Path().absolute().parent.parent)\n",
    "sys.path.append(p_parent_path) \n",
    "print(f\"主目录为：{p_parent_path}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "from torch.utils.data import DataLoader\n",
    "from torchvision import datasets\n",
    "import torchvision.transforms as transforms\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "from sklearn.decomposition import PCA\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "原本特征维度数：784\n"
     ]
    }
   ],
   "source": [
    "train_dataset = datasets.MNIST(root = p_parent_path+'/datasets/', train = True,transform = transforms.ToTensor(), download = False)\n",
    "test_dataset = datasets.MNIST(root = p_parent_path+'/datasets/', train = False, \n",
    "                               transform = transforms.ToTensor(), download = False)\n",
    "\n",
    "batch_size = len(train_dataset)\n",
    "train_loader = DataLoader(dataset=train_dataset, batch_size=batch_size, shuffle=True)\n",
    "test_loader = DataLoader(dataset=test_dataset, batch_size=batch_size, shuffle=True)\n",
    "X_train,y_train = next(iter(train_loader))\n",
    "X_test,y_test = next(iter(test_loader))\n",
    "X_train,y_train = X_train.cpu().numpy(),y_train.cpu().numpy() # tensor转为array形式)\n",
    "X_test,y_test = X_test.cpu().numpy(),y_test.cpu().numpy() # tensor转为array形式)\n",
    "X_train = X_train.reshape(X_train.shape[0],784)\n",
    "X_test = X_test.reshape(X_test.shape[0],784)\n",
    "m , p = X_train.shape # m：训练集数量，p：特征维度数\n",
    "print(f\"原本特征维度数：{p}\") # 特征维度数为784"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "# n_components是>=1的整数时，表示期望PCA降维后的特征维度数\n",
    "# n_components是[0,1]的数时，表示主成分的方差和所占的最小比例阈值，PCA类自己去根据样本特征方差来决定降维到的维度\n",
    "model = PCA(n_components=0.95) \n",
    "lower_dimensional_data = model.fit_transform(X_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "降维后的特征维度数：154\n"
     ]
    }
   ],
   "source": [
    "print(f\"降维后的特征维度数：{model.n_components_}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "approximation = model.inverse_transform(lower_dimensional_data) # 降维后的数据还原\n",
    "plt.figure(figsize=(8,4));\n",
    "\n",
    "# 原始图片\n",
    "plt.subplot(1, 2, 1);\n",
    "plt.imshow(X_train[1].reshape(28,28),\n",
    "              cmap = plt.cm.gray, interpolation='nearest',\n",
    "              clim=(0, 1));\n",
    "plt.xlabel(f'{X_train.shape[1]} components', fontsize = 14)\n",
    "plt.title('Original Image', fontsize = 20)\n",
    "# 降维后的图片\n",
    "plt.subplot(1, 2, 2);\n",
    "plt.imshow(approximation[1].reshape(28, 28),\n",
    "              cmap = plt.cm.gray, interpolation='nearest',\n",
    "              clim=(0,1));\n",
    "plt.xlabel(f'{model.n_components_} components', fontsize = 14)\n",
    "plt.title('95% of Explained Variance', fontsize = 20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 不同主成分个数对应的可解释方差分析(Explained Variance)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = PCA() # 这里需要分析所有主成分，所以不降维\n",
    "model.fit(X_train)\n",
    "tot = sum(model.explained_variance_) \n",
    "var_exp = [(i/tot)*100 for i in sorted(model.explained_variance_, reverse=True)] \n",
    "cum_var_exp = np.cumsum(var_exp)\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.step(range(1, p+1), cum_var_exp, where='mid',label='cumulative explained variance') # p：特征维度数\n",
    "plt.title('Cumulative Explained Variance as a Function of the Number of Components')\n",
    "plt.ylabel('Cumulative Explained variance')\n",
    "plt.xlabel('Principal components')\n",
    "plt.axhline(y = 95, color='k', linestyle='--', label = '95% Explained Variance')\n",
    "plt.axhline(y = 90, color='c', linestyle='--', label = '90% Explained Variance')\n",
    "plt.axhline(y = 85, color='r', linestyle='--', label = '85% Explained Variance')\n",
    "plt.legend(loc='best')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x1000 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "def explained_variance(percentage, images): \n",
    "    '''\n",
    "       :param: percentage [float]: 降维的百分比\n",
    "       :return: approx_original: 降维后还原的图片\n",
    "       :return: model.n_components_: 降维后的主成分个数\n",
    "    '''   \n",
    "    model = PCA(percentage)\n",
    "    model.fit(images)\n",
    "    components = model.transform(images)\n",
    "    approx_original = model.inverse_transform(components)\n",
    "    return approx_original,model.n_components_\n",
    "plt.figure(figsize=(8,10));\n",
    "percentages = [784,0.99,0.95,0.90]\n",
    "for i in range(1,5):\n",
    "    plt.subplot(2,2,i)\n",
    "    im, n_components = explained_variance(percentages[i-1], X_train)\n",
    "    im = im[5].reshape(28, 28) # 重建成图片\n",
    "    plt.imshow(im,cmap = plt.cm.gray, interpolation='nearest',clim=(0,1))\n",
    "    plt.xlabel(f'{n_components} Components', fontsize = 12)\n",
    "    if i==1:\n",
    "        plt.title('Original Image', fontsize = 14)\n",
    "    else:\n",
    "        plt.title(f'{percentages[i-1]*100}% of Explained Variance', fontsize = 14)\n",
    "plt.show()\n"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "42c9bd6a7bb2602a627a03adc5d7029ff8a60f7e68b58a1beb81d0b4574fea3d"
  },
  "kernelspec": {
   "display_name": "Python 3.7.11 64-bit ('py37': conda)",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.11"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
